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Locomotor patterns in cerebellar ataxia

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Martino G1,2, Ivanenko YP2, Serrao M3,4, Ranavolo A5, d’Avella A2, Draicchio F5, Conte C3,6, Casali

3

C4, Lacquaniti F1,2,7

4 5

1 Centre of Space Bio-medicine, University of Rome Tor Vergata, Rome, Italy

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2 Laboratory of Neuromotor Physiology, IRCCS Santa Lucia Foundation, Rome, Italy

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3 Rehabilitation Centre Policlinico Italia, Rome, Italy

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4 Department of Medical and Surgical Sciences and Biotechnologies, Sapienza University of

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Rome, Latina, Italy 10

5 INAIL, Department of Occupational Medicine, Monte Porzio Catone, Rome, Italy

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6 IRCCS C. Mondino, Department of Neuroscience, University of Pavia, Pavia, Italy

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7 Department of Systems Medicine, University of Rome Tor Vergata, Rome, Italy

13 14 15 16 17 18 19 20 21 22 Correspondence to: 23 Dr Giovanni Martino 24

Laboratory of Neuromotor Physiology, IRCCS Fondazione Santa Lucia, 306 via Ardeatina, 00179 25 Rome, Italy 26 tel. ++39 06.51.50.14.75 27 fax. ++39 06.51.50.14.82 28 e-mail: [email protected] 29

Articles in PresS. J Neurophysiol (September 3, 2014). doi:10.1152/jn.00275.2014

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Abstract 30

31

Several studies demonstrated how cerebellar ataxia (CA) affects gait, resulting in deficits in 32

multi-joint coordination and stability. Nevertheless, how lesions of cerebellum influence the 33

locomotor muscle pattern generation is still unclear. To better understand the effects of CA on 34

locomotor output, here we investigated the idiosyncratic features of the spatiotemporal structure of 35

leg muscle activity and impairments in the biomechanics of CA gait. To this end, we recorded the 36

electromyographic (EMG) activity of 12 unilateral lower limb muscles and analyzed kinematic and 37

kinetic parameters of 19 ataxic patients and 20 age-matched healthy subjects during overground 38

walking. Neuromuscular control of gait in CA was characterized by a considerable widening of 39

EMG bursts and significant temporal shifts in the center of activity due to overall enhanced muscle 40

activation between late swing and mid-stance. Patients also demonstrated significant changes in 41

the intersegmental coordination, an abnormal transient in the vertical ground reaction force and 42

instability of limb loading at heel strike. The observed abnormalities in EMG patterns and foot 43

loading correlated with the severity of pathology (clinical ataxia scale, ICARS) and the changes in 44

the biomechanical output. The findings provide new insights into the physiological role of 45

cerebellum in optimizing the duration of muscle activity bursts and the control of appropriate foot 46

loading during locomotion. 47

48

Keywords: Cerebellar ataxia, gait adaptation, muscle activation patterns, central pattern 49

generator, limb loading. 50

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Introduction 51

52

Cerebellum is known to play a critical role in the production of locomotor behavior (Lennard 53

and Stein, 1977; Grillner et al., 1995; Roberts et al., 1995; Rossignol et al., 1998). Several 54

physiological studies on animals, in fact, have described how lesions at different regions of 55

cerebellum are responsible for different deficits in locomotion (Thach and Bastian, 2004). Medial 56

cerebellar region plays a primary role in static and dynamic balance control and in modulating the 57

rhythmic flexor and extensor muscle activity. The intermediate and lateral cerebellar regions 58

appears to be more important for directing limb placement and fine adjustments to the normal 59

locomotor pattern in novel or complex circumstances or when strong visual guidance is required 60

(Morton and Bastian, 2007). 61

In humans, the gait impairment characterizing cerebellar ataxia (CA) is often clinically 62

described as “drunken gait”, as the clinical features typically observed include a widened base of 63

support and an irregular gait pattern (Holmes, 1939). Several studies investigated the 64

biomechanical characteristics of patients with CA, finding these to consist of decreases in step 65

length, gait speed and ankle torques, increased step width, impaired inter-joint coordination and 66

marked variability of all global and segmental gait parameter values (Palliyath et al., 1998; Mitoma 67

et al., 2000; Earhart and Bastian, 2001; Stolze et al., 2002; Morton and Bastian, 2003; Ilg et al., 68

2007; Serrao et al., 2012; Wuehr et al., 2013). All these gait abnormalities, reflecting a lack of limb 69

coordination and impaired balance, greatly restrict these patients in their daily life activities and 70

predispose them to falls (Van de Warrenburg et al., 2005b; Nardone and Schieppati, 2010). 71

No studies have yet been performed to provide a detailed analysis of muscle activity 72

patterns during locomotion in patients with CA. Furthermore, no information on the relationship 73

between the observed kinematic and kinetic abnormalities and the related muscle activity have 74

been provided so far. Therefore, the specific contribution of the cerebellum to the production of 75

locomotor muscle pattern behaviors in humans is still unclear. Impaired processing of sensorimotor 76

information in the cerebellum about foot kinematics and kinetics (Bosco et al., 2006) may also 77

disturb the limb loading and placement. Previous findings suggest that the cerebellum helps in 78

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modulating sensorimotor interactions, integrates both feedforward and feedback control of balance, 79

and plays a functional role in motor learning and adaptation (Horak and Diener, 1994; Morton and 80

Bastian, 2004; Konczak and Timmann, 2007; Bastian, 2011; Goodworth et al., 2012; Ilg and 81

Timmann, 2013). Thus, lesions of the cerebellum may induce abnormalities in the spatial and 82

temporal pattern of muscle activation resulting in specific gait impairments. 83

The aim of this study was to provide a wider characterization of ataxic gait by exploring the 84

muscle activation patterns of patients affected by CA, and correlating them with the kinematics, 85

kinetics and the degree of severity of the pathology. The first objective was to test the hypothesis 86

that subjects with cerebellar damage show abnormalities in switching and scaling individual 87

muscles resulting in prolonged activity, as it occurs during upper limb movements in CA (Hallett et 88

al., 1975) or during early development of locomotion (Dominici et al., 2011) when the cerebellum is 89

still immature (Vasudevan et al., 2011). As a secondary objective, we studied the kinematic and 90

kinetic behavior of whole lower limb by analyzing the multiple joint coordination as well as the 91

ground reaction force during loading response. Particularly, we sought to investigate whether the 92

loading response in CA is impaired during weight acceptance, representing the most demanding 93

task to guarantee the initial limb stability and the preservation of progression (Perry, 1992). To 94

assess the coordination deficits, we used the methods developed earlier for normal gait (Borghese 95

et al., 1996; Lacquaniti et al., 2002) and we expected that applying this analysis technique to CA 96

patients may highlight specific alterations in the planar covariation of limb segment elevation 97

angles (Dominici et al., 2010; MacLellan et al., 2011; Leurs et al., 2012).To this end we 98

investigated a sample of patients with primary degenerative pancerebellar diseases. These 99

cerebellar disorders may represent an appropriate model to investigate the role of cerebellum as a 100

whole in locomotor pattern generation. 101

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Materials and methods 102

103

Participants 104

Nineteen patients (5 females and 14 males; age range 32-65 yrs, weight 68±8 kg [mean ± 105

SD], leg length 0.78±0.06 m) affected by inherited CA, and twenty age-matched healthy subjects 106

HS (7 females and 13 males; age range 34-70 yrs, weight 70±14 kg, leg length 0.80±0.05 m) were 107

studied. The characteristics of patients are described in Table 1. Eleven patients had a diagnosis 108

of autosomal dominant ataxia (spinocerebellar ataxia, 7 pts with SCA1, 4 pts with SCA2), while the 109

other 8 had sporadic adult onset ataxia of unknown etiology (SAOA). Even if extracerebellar 110

involvement is common in both SCA1 and 2, none of our patients was found to have clinically 111

significant signs other than cerebellar ones. In particular, they did not show extrapyramidal or 112

pyramidal signs, nor signs of peripheral nerve or muscle deficits, which tend to be overt over the 113

course of the disease. All patients were at a relative early stage of disease as demonstrated by the 114

low International Cooperative Ataxia Rating Scale (ICARS) (Table 1), so that within the limits of 115

clinical ascertainment methods they can be regarded as relatively “pure” cerebellar patients. All 116

patients underwent a complete neurological assessment which included: (i) cognitive evaluation 117

(MMSE, mini-mental state scale); (ii) cranial nerves evaluation; (iii) muscle tone evaluation; (iv) 118

muscle strength evaluation; (iv) joint coordination evaluation; (v) sensory examination; (vi) tendon 119

reflex elicitation; (vii) disease severity measured by ICARS (Trouillas et al., 1997). Particularly, 120

sensation was tested clinically for light touch, pain, joint position and vibration, starting from the 121

toes and moving proximally; touch was tested by a wisp of cotton, pain by a sharp pin, vibration by 122

a 128-Hz tuning fork; proprioception was investigated by asking five times the blinded patient to 123

describe the position of the second toe and the ankle, which were passively moved upward or 124

downward by the examiner, avoiding end-of-range-of-motion position (DeMyer, 2003). In each of 125

these three sensory tests, we assessed whether sensation was normal, reduced or absent, 126

specifying the region of the body. All the patients were evaluated by two experienced neurologists 127

(CC and MS). 128

(6)

No patient had any kind of visual impairment, in particular no optic atrophy or retinitis 129

pigmentosa were revealed. On the other hand, almost all patients had oculomotor abnormalities 130

such as gaze nystagmus or square waves during pursuit movements, which are common in 131

cerebellar disorders with no obvious impairment of visual acuity. No patient showed clinical 132

features of spasticity, strength deficit, sensory deficit, and/or cognitive impairment (MMSE >26). 133

Furthermore, no relevant inter-limb asymmetries in terms of dysmetria, asynergia and hypotonia 134

and limb kinetic ICARS scores were found between right and left side. All patients showed (at MRI) 135

pancerebellar degenerations with significant atrophy of the cerebellar vermis. Patients enrolled in 136

our study were undergoing physical therapy, which included upper and lower limb exercises, 137

balance and gait training. All participants were capable of walking independently on a level surface, 138

they provided informed written consent prior to taking part in the study, which complied with the 139

Helsinki Declaration and had local ethics committee approval. 140

141

Procedures and data recording 142

Subjects were asked to walk barefoot along a walkway, approximately 7 m length, while 143

looking forward. They walked at comfortable self-selected speeds, but were encouraged to walk 144

also at the fastest speed at which they still felt safe, resulting in a range of different speeds across 145

the recorded trials. Given that typical walking speeds were on the slow side in patients, we 146

instructed the healthy control subjects to also walk barefoot at low comfortable speeds (~30-50% 147

slower than self-selected speed), in order to roughly match the walking speed in the two groups of 148

subjects. Before the recording session, subjects practiced for a few minutes to familiarize with the 149

procedure. To ensure safe walking conditions, an assistant walked alongside the patients during 150

the trials when necessary. In order to avoid muscle fatigue, groups of three trials were separated 151

by 1-min rest periods. At least 15 trials were recorded for each subject (≥10 trials at self-selected 152

speed and ≥5 trials at fast speed in patients or slow speed in controls) and the strides related to 153

gait initiation and termination were discarded so that each trial included from 1 to 3 consecutive 154

gait cycles. Only strides whose speed fell within the range of 3-4.5 km/h (since most trials were 155

performed in this range) were retained here for further analysis. Therefore the number of strides 156

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analyzed in each subject (at matched walking speeds, 3-4.5 km/h) was on average 12.8±4.6 for 157

CA patients and 12.7±3.6 for control subjects, while the number of excluded strides was on 158

average 18.4±11.7 for CA patients and 10.4±3.8 for control subjects. 159

Kinematic data were recorded bilaterally at 300 Hz using an optoelectronic motion analysis 160

system (SMART-D System, BTS, Milan, Italy) consisting of 8 infrared cameras spaced around the 161

walkway. Twenty-two retro-reflective spherical markers (15 mm in diameter) were attached on 162

anatomical landmarks according to Davis et al. (1991). Anthropometric measurements were taken 163

on each subject. These included the mass and height of the subject and the length of the main 164

segments of the body according to the Winter’s method (Winter, 1979). Ground reaction forces 165

were recorded at 1200 Hz by means of two force platforms (0.6·m×0.4·m; Kistler 9286B, 166

Winterthur, Switzerland), placed at the center of the walkway, attached to each other in the 167

longitudinal direction but displaced by 0.2·m in the lateral direction. The EMG data were recorded 168

at 1000 Hz using a wireless system (FreeEMG300 System, BTS, Milan, Italy). Bipolar Ag-AgCl 169

surface electrodes were used to record EMG activity from 12 muscles simultaneously on the right 170

side of the body in each subject: tibialis anterior (TA); gastrocnemius lateralis (LG); gastrocnemius 171

medialis (MG); soleus (SOL); peroneus longus (PL); vastus lateralis (VL); vastus medialis (VM); 172

rectus femoris (RF); biceps femoris (BF); semitendinosus (ST); tensor fascia latae (TFL); gluteus 173

medium (GM). Innervation zones and tendon regions were identified using multi-channel high-174

density EMG recordings (Barbero et al., 2012) and SENIAM guidelines (Hermens et al., 1999) to 175

ensure correct placement of EMG electrodes. Acquisition of the EMG, kinematic, and kinetic data 176 was synchronized. 177 178 Data Analysis 179

GAIT CYCLE DEFINITION. Gait cycle was defined as the time between two successive foot 180

contacts of the same leg and foot strike and lift-off events were determined by maximum and 181

minimum excursions of the limb angle (Borghese et al., 1996; Vasudevan et al., 2011), defined as 182

the angle between the vertical axis and the limb segment (from the greater trochanter to lateral 183

malleolus) projected on the sagittal plane. When subjects stepped on the force platforms, these 184

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kinematic criteria were verified by comparison with foot strike and lift-off measured from a threshold 185

crossing event in the vertical force (7% of body weight). In general, the difference between the time 186

events measured from kinematics and kinetics was no more than 3%. Nevertheless, since the 187

kinematic criterion produced a small error in the identification of stance onset, for averaging and 188

assessing the vertical ground reaction forces when subjects stepped on the force plate, we 189

identified the foot strike from the kinetic data. 190

191

KINEMATIC DATA PROCESSING. The following general gait parameters were calculated for

192

each subject: walking speed, cycle duration, relative stance duration, stride length and stride width. 193

The stride length and width were normalized to the limb length (thigh+shank) of each subject. We 194

computed both the anatomical joint angles and the elevation angles of the limb segments relative 195

to the vertical for the right lower limb (Borghese et al., 1996), as well as the pitch and roll angles for 196

the trunk. From these variables, we derived the range of angular motion (RoM). The kinematic data 197

were time interpolated over individual gait cycles to fit a normalized 200-point time base. We also 198

assessed the inter-stride angular variability by calculating the mean standard deviation (SD) of the 199

joint and trunk orientation angles. 200

Most coordination analyses of gait in CA (Earhart and Bastian, 2001; Stolze et al., 2002; 201

Morton and Bastian, 2003; Ilg et al., 2007) involved the use of angle–angle plots and thus 202

examined movement at two joints at a time. We used a more advanced analysis technique, termed 203

the planar law of intersegmental coordination, which allows to examine movement coordination at 204

the thigh, shank and foot segments simultaneously (Borghese et al., 1996; Lacquaniti et al., 2002). 205

Briefly, the temporal changes of the elevation angles at the thigh, shank, and foot covary during 206

walking. When these angles are plotted in three dimensions (3D), they describe a loop that can be 207

least-squares fitted to a plane over each gait cycle (Borghese et al., 1996). A principal component 208

analysis (PCA) was applied to the group of three segment elevation angle trajectories to determine 209

covariance loop planarity, width and orientation. To this end, we computed the covariance matrix of 210

the ensemble of time-varying elevation angles over each gait cycle. The first two eigenvectors 211

and lie on the best-fitting plane of angular covariation and the third eigenvector ( ) is the 212

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normal to the plane and thus defines the plane orientation. The planarity of the trajectories was 213

quantified by the percentage of total variation ( ) accounted for by the third eigenvector of the 214

data covariance matrix (for ideal planarity 0%). Covariance loop width was determined using 215

the percent variance ( ) explained by the second eigenvector since it is oriented in the 216

direction of the minor axis of the loop formed by the elevation angles (if is small, the thigh-217

shank-foot loop tends to be a line, Ivanenko et al., 2008). Covariance plane orientation was 218

quantified using the direction cosine between the third principal axis and the positive semi-axis of 219

the thigh segment ( ), which was found to vary depending on walking conditions (Bianchi et al., 220

1998; Ivanenko et al., 2008) or gait pathology (Grasso et al., 1999, 2004; MacLellan et al., 2011; 221

Leurs et al., 2012). For each subject, the parameters of planar covariation ( , and ) were 222

averaged across strides. 223

224

GROUND REACTION FORCES. The steps in which only the right foot stepped onto one of the

225

force plates were analyzed. The vertical ground reaction force (GRF) was calculated and 226

normalized to the body mass (Winter, 1991). In addition, because the lower limb can undergo an 227

impulsive load, the heel strike transient (Verdini et al., 2006) during the weight-acceptance period 228

was evaluated by calculating the peak-to-peak change between the transient maximum and the 229

following local minimum in the GRF ( , Fig. 4A). If this transient was absent, the change was 230

considered equal to zero. Since the transient may also be related to limb instability or to small 231

oscillations of the limb during the heel strike, we evaluated the corresponding kinematics 232

correlates: the peak-to-peak change between maximum and minimum values of the vertical 233

velocity of three markers placed on the greater trochanter (hip), lateral femur epicondyle (knee) 234

and lateral malleolus (ankle) during the 0-10% interval of the stance phase ( , Fig. 4B). 235

236

ASSESSMENT OF EMGS. The raw EMG signals were band-pass filtered using a zero-lag 237

third-order Butterworth filter (20-450 Hz), rectified and low-pass filtered with a zero-lag fourth-order 238

Butterworth filter (10 Hz). The time scale was normalized by interpolating individual gait cycles over 239

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200 points. For each individual, the EMG signal from each muscle was normalized to its peak 240

value across all trials. 241

To characterize differences in the amplitude and timing of EMG activity between CA and 242

HS groups, we computed the following parameters: mean and maximum EMG activity (in µV), 243

antagonist co-activation index ( ), center of activity ( ), and full width at half maximum 244

( ). EMG parameters were calculated over individual strides and then averaged across 245

cycles. 246

The was assessed between the thigh (mean activity of quadriceps RF-VL-VM vs 247

hamstring BF-ST) and calf (mean activity of triceps MG-LG vs TA) antagonistic muscle groups 248

using the following formula (Rudolph et al., 2000; Mari et al., 2014): 249

EMGH j EMGL j /2 EMGL j EMG⁄ H j

200 1

where EMGH and EMGL represent the highest and the lowest activity between the antagonist 250

muscle pairs. In order to have a global measure of the co-activity level, the was then averaged 251

over the entire gait cycle ( 1: 200). This method provided a sample-by-sample estimate of the 252

relative activation of the pair of muscles as well as the magnitude of the co-contraction over the 253

entire cycle. Using this equation, high co-contraction values represent a high level of activation of 254

both muscles across a large time interval, whereas low co-contraction values indicate either low 255

level activation of both muscles, or a high level activation of one muscle along with low level 256

activation of the other muscle in the pair (Rudolph et al., 2000). 257

The during the gait cycle was calculated using circular statistics (Batschelet, 1981) and 258

plotted in polar coordinates (polar direction denoted the phase of the gait cycle, with angle that 259

varies from 0 to 360°). The of the EMG waveform was calculated as the angle of the vector 260

(first trigonometric moment) which points to the center of mass of that circular distribution using the 261

following formulas: 262

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sin 3 tan ⁄ 4

The was chosen because it was impractical to reliably identify a single peak of activity in the 263

majority of muscles, especially in pathological subjects. It can only be considered as a qualitative 264

parameter, because averaging between distinct foci of activity may lead to misleading activity in 265

the intermediate zone. Nevertheless, it can be helpful to understand if the distribution of muscular 266

activity remains unaltered across different groups and muscles. 267

The for each EMG waveform was calculated as the sum of the durations of the 268

intervals in which the EMG activity (after subtracting the minimum throughout the gait cycle) 269

exceeded the half of its maximum. 270

271

Statistics 272

Between groups differences in the spatiotemporal gait parameters, intersegmental 273

coordination, inter-stride variability and were assessed by performing unpaired two-sample 274

t-tests. The analysis of was performed using the Watson-Williams test for circular data 275

(Watson and Williams, 1956). The correlation between kinematics, kinetics, muscle activation 276

patterns and clinical scores was performed using Spearman’s rank correlation coefficient. The 277

correlation coefficients used in the regression plots were corrected for multiple samples from the 278

same participants. Descriptive statistics included means ± SD, and significance level was set at 279

0.05. All statistical analysis were performed using Statistica (v7.0) and custom software written 280

in Matlab (v8.1). 281

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Results 282

283

General gait parameters and kinematics 284

At matched walking speeds, cerebellar patients showed a significant increase in the stride 285

width, reduction in the cycle duration and stride length in comparison with healthy controls (Fig. 286

1A). Instead, the relative stance duration was not significantly different in the two groups. These 287

results are consistent with previous studies (Palliyath et al., 1998; Mitoma et al., 2000; Serrao et 288

al., 2012). Figure 1B shows the ensemble-averaged kinematic patterns. The time course of 289

changes of hip and knee joint angles of CA patients was very similar to that of HS. In contrast, a 290

substantial reduction of the ankle joint excursion ( 0.00004) and consistently larger oscillations 291

in the trunk roll and pitch angles ( 0.0009) were observed in CA relative to HS (Fig. 1C). 292

Figure 2A illustrates the stride-averaged (±SD) thigh, shank and foot elevation angles and 293

corresponding gait loops plotted in 3D for one representative HS (left) and one CA patient (right). 294

In both groups, the temporal changes of the elevation angles covary during walking, describing a 295

characteristic loop over each stride that is best-fitted by a plane ( 1%, Fig. 2B). The 296

percentage of variance accounted for by the second eigenvector ( ) was significantly greater in 297

CA ( 0.002) indicating a wider gait loop (Fig. 2B). The orientation of the covariance plane ( 298

parameter) was also significantly different between the two groups ( 0.0002). 299

The stride-by-stride variability in gait kinematics was consistently larger in CA. Figure 3A 300

illustrates superimposed plots of the hip, knee, ankle, and trunk pitch and roll angles during 301

individual gait cycles in one control subject and one CA patient. On average, the inter-stride 302

variability in the angles, estimated as the mean SD over the gait cycle, was about 50% greater in 303

CA patients (Fig. 3B). 304

305

Ground reaction forces 306

Figure 4A illustrates the vertical component ( ) of the GRF for both individual strides in 307

single subjects (upper plots) and averaged curves for all subjects (lower plots). Both groups 308

showed the typical two-peaked profile, with a first maximum during the initial stance phase (∼25% 309

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of stance phase) and the second one at the end of stance (∼80% of stance phase). A small 310

additional peak during weight acceptance, at ∼10% of stance, could also be observed (Fig. 4A), 311

consistent with previous studies in healthy subjects (Borghese et al., 1996; Verdini et al., 2006). 312

This peak was prominent in all CA patients, while it was seen only in a few control subjects at 313

these slow to moderate speeds. We quantified the heel strike transient by calculating the 

314

parameter (Fig. 4A):  was significantly larger ( 0.00004) in CA compared to HS (Fig. 4C). The 315

horizontal shear forces did not show systematic differences between the two groups and are not 316

reported. 317

We also examined whether the augmented transient in the vertical GRF in CA (Fig. 4A) 318

correlates with kinematic parameters. To this end, we computed the difference between maximum 319

and minimum values of the vertical velocity of the markers located on the hip, knee, and ankle, 320

measured at the beginning of stance (0-10% of the stance phase,  in Fig. 4B). Examples of 321

velocity traces in one control subject and one CA patient are illustrated in Figure 4B. The  322

parameter was significantly larger ( 0.0001) for the knee and hip markers in patients (Fig. 4C), 323

consistent with a greater instability of limb loading in CA as shown by the prominent transient in 324

vertical force ( , Fig. 4A). 325

326

EMG envelopes 327

We recorded EMG signals from 12 muscles of the right lower limb. Figure 5A illustrates 328

EMG traces in one healthy subject and one CA patient during two consecutive strides. In both 329

groups, EMG activity during walking tended to occur in bursts that were temporally related to 330

specific kinematic/kinetic events: weight acceptance (VM, VL, RF, TFL, GM), limb 331

loading/propulsion (SOL, MG, LG, PL), foot lift (TA), heel strike (ST, BF). The normalized and 332

ensemble-averaged EMGs for the two groups of subjects are illustrated in Figure 5B. We noticed 333

that the EMG profiles in CA patients often differed relative to those in HS in two main features. 334

First, the major bursts tended to be wider (more prolonged) for most muscles. Second, EMG 335

profiles of CA could show some extra bursts, presumably related to gait instability (Fig. 5A). For 336

instance, the activity of hamstring muscles (BF and ST) in patients started earlier (at about 80% of 337

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gait cycle) and was prolonged till about 50% of gait cycle with respect to the healthy subjects (Fig. 338

5B). A wider activity was also notable in the TA muscle. Similarly, calf muscles (SOL, MG, LG and 339

PL) in CA showed activity throughout the whole stance phase, even at the onset of stance, when 340

they are silent in HS. 341

EMG envelopes in Figure 5B were normalized to the maximum value across all trials, but 342

we also quantified the absolute mean activity and the extent of modulation of activity of leg 343

muscles over the gait cycle. Although large inter-individual variability was observed (in part due to 344

the individual differences in skin impedance), on average the mean and the max amplitude of 345

muscle activity over the gait cycle was about twice greater in CA patients ( 0.00001, Fig. 5C), 346

significantly increased activity in CA was found in both proximal and distal muscles. 347

CA patients showed significantly higher co-activation index values throughout the gait cycle 348

both for RF-VL-VM vs ST-BF (11.7±2.8 for CA and 9.3±2.1 for HS; 0.01) and MG-LG vs TA 349

(15.5±3.5 for CA and 8.7±2.1 for HS; 0.00001) pairs of antagonist muscles (Fig. 5D). 350

To characterize differences in timing and duration of EMG activity between HS and CA 351

groups, we computed the center of activity ( ) and full width at half maximum ( ) (Fig. 6A, 352

see Methods). The was similar for many muscles for the two groups of subjects, though it 353

shifted to slightly later phases of the gait cycle (CCW in the polar plots) in proximal muscles (VL, 354

ST, BF), and to earlier phases (CW in the polar plots) in distal muscles (SOL, MG, LG and PL) in 355

CA patients with respect to HS ( 0.00001, Fig. 6C). The analysis of allowed us to 356

quantify the duration of activity of each muscle. Figure 6B shows that most muscles (TA, 357

hamstrings and distal extensors) significantly increased their in CA patients in comparison 358

with HS. The mean (across all muscles) in HS and CA was 20% and 29% of the gait cycle, 359

respectively. Also, we verified whether the depended on velocity in the range of analyzed 360

walking speeds (3-4.5 km/h). The analysis did not reveal any significant correlation between 361

(expressed in % gait cycle) and walking speed in both groups of subjects (Fig. 6C), 362

consistent with scaling of EMG activity with cycle duration (Ivanenko et al., 2004; Cappellini et al., 363

2006). 364

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Correlations between EMGs activation patterns, clinical scores and gait parameters in CA 366

Figure 7A illustrates significant correlations between muscle activation pattern 367

characteristics and kinematic and kinetic parameters in CA patients. We observed significant 368

relationships ( 0.02) between mean (averaged across all muscles) and cycle duration, 369

stride length, and stride width of CA patients (Fig. 7A). For the intersegmental coordination and 370

angular motion, we found a significant ( 0.01) correlation of only with (Fig. 7A). 371

Figure 7B, C and D show the relationship between clinical ICARS measures and gait 372

parameters (which were significantly different between HS and CA). The following parameters 373

correlated significantly with the ICARS score: cycle duration ( 0.04), stride length ( 0.04), 374

stride width ( 0.03), ( 0.02) (Fig. 7B),  of the GRF ( 0.02),  of the hip and knee 375

( 0.01 and 0.001, respectively) (Fig. 7C), and mean of EMG envelopes ( 0.002) 376

(Fig. 7D). The was similar among different forms of CA: 29.2±8.9% for SCA1, 28.9±7.1% 377

for SCA2 and 28.3±5.7% for SAOA. While there were significant differences in the interstride 378

variability in the kinematic parameters between CA and HS (Fig. 3), there was no simple 379

relationship between the increased stride-by-stride variability in CA patients and the clinical ICARS 380

measures (see also Ilg et al., 2007; Serrao et al., 2012). Thus, a large number of gait and muscle 381

pattern parameters that were significantly different between CA and HS gaits (Fig. 1, 2, 4, 6) 382

correlated with the severity of pathology (ICARS score). 383

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Discussion 384

385

In this study we investigated muscle activity and the biomechanics of locomotion in a group 386

of patients diagnosed with SCA1, SCA2 and SAOA condition of CA. We analyzed the 387

characteristics of EMG activity of 12 unilateral lower limb muscles, correlating them with the clinical 388

score and global and segmental parameters extracted from the kinematics and ground reaction 389

forces. Our findings revealed new idiosyncratic features of the CA gait: significant changes in the 390

intersegmental coordination (Fig. 1C, 2), an abnormal transient in the vertical ground reaction force 391

and instability of limb loading at heel strike (Fig. 4). The marked feature of neuromuscular control 392

of gait in CA was the widening of EMG bursts (Fig. 5, 6). Below we discuss the relationship 393

between the primary deficits and/or compensatory strategies and adaptive changes in the walking 394

behavior and muscle activity patterns. 395

396

Kinematics features of CA gait 397

Several studies have compared the parameters characterizing locomotion of cerebellar 398

patients with that of healthy controls. The results confirmed high variability of spatiotemporal gait 399

parameters (Fig. 3), wide-base support and reduced cycle duration and stride length (Fig. 1A) that 400

has previously been shown to be distinctive features of ataxic locomotion aimed at compensating 401

the wide oscillations of the center of mass due to poor dynamic balance and stability (Palliyath et 402

al., 1998; Ilg et al., 2007; Serrao et al., 2012; Wuehr et al., 2013). Reduced RoM in the ankle joint 403

in CA could be related to shorter steps (Fig. 1A), impaired intersegmental coordination (wider gait 404

loop, Fig. 2) and/or stiffening of the ankle joint, which would reduce push-off forces, necessary to 405

propel the center of mass forward and upward, and thus destabilize the gait (Morton and Bastian, 406

2003). Increased trunk sway (Fig. 1C, right panel) can be assumed to be related to multidirectional 407

postural instability (Van de Warrenburg et al., 2005a). 408

The analysis of the intersegmental coordination in CA revealed significant changes in the 409

covariance plane orientation (expressed by , Fig. 2 right panel) and wider gait loop (expressed 410

by the higher values of PV2, Fig. 2). This is a significant finding, because the orientation of the

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covariance plane reflects a specific tuning of the phase coupling between pairs of limb segments 412

and is related to an ability of the subject to adapt to different walking conditions (Bianchi et al., 413

1998; Dominici et al., 2010). For instance, in toddlers, the ability to adapt to different terrains is 414

very limited and the maintenance of a roughly constant planar covariance reduces flexibility of the 415

kinematic pattern and thus restricts the manifold of angular segment motion (Dominici et al., 2010). 416

Likewise, it would be of a great interest to study whether there is also a lack of specific adaptation 417

in the planar covariation of limb segments in CA during walking over different terrains (see, for 418

instance, MacLellan et al., 2011). 419

420

Foot loading in CA 421

In cerebellar patients, the vertical ground reaction force demonstrated a prominent transient 422

following the heel strike (Fig. 4), indicating an abnormal control of limb loading, correlated with the 423

severity of the pathology (Fig. 7C). Even though it can be observed in healthy individuals during 424

fast walking (Borghese et al., 1996), normally the intensity of this impact is adjusted by shock-425

absorbing reactions at the ankle, knee and hip (Perry, 1992) and it is small or absent at low and 426

normal walking speeds (Fig. 4A, left panels). A similar peak was also found in other pathologies, 427

like osteoarthritis and low back pain (Collins and Whittle, 1989), in amputees (Klodd et al., 2010), 428

and in healthy subjects during unstable walking on a slippery surface (Cappellini et al., 2009). 429

Despite its deceiving simplicity, human locomotion incorporating an heel strike and 430

appropriate heel-to-toe rolling pattern during stance is a precise and complex motor task that 431

requires learning (Dominici et al., 2007; Ivanenko et al., 2007). The cause of the impaired loading 432

in CA (Fig. 4) may originate from the unbalanced control and preparation to the foot touchdown. An 433

increase in the impact transient could also be a consequence of leg stiffening in CA patients (Mari 434

et al., 2014) or reduced push-off of the contralateral limb in late stance (Serrao et al., 2012). For 435

instance, in amputees, the occurrence of the heel strike transient is evident on the sound side 436

while the prosthetic limb exhibits smooth loading, presumably due to a lack of active push-off from 437

the prosthetic feet in late stance and/or reduced energy storage and return from the prosthetic feet 438

(Klodd et al., 2010). Nevertheless, the weakness of distal extensors does not inevitably result in 439

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the abnormal GRF transient since it was not observed in peripheral neuropathy (Ivanenko et al., 440

2013a). Further experiments are needed to understand better its biomechanical nature. Whatever 441

the exact biomechanical reasons for the observed phenomenon, the cerebellum may play an 442

important role in the foot loading control. For instance, cats with unilateral section of the dorsal 443

spinocerebellar tract cannot walk on a slippery floor (R.E. Poppele, unpublished observation) as 444

well as cerebellar gait ataxia in humans may result in leg-placement deficit (Morton and Bastian, 445

2003). 446

447

Muscle activation patterns in cerebellar ataxia 448

Despite that the kinematics and bilateral coordination of leg muscle activity is quite 449

symmetrical in normal healthy subjects, in pathological conditions there might be some differences 450

(Perry, 1992). We did not find any significant difference in the kinematic parameters and clinical 451

assessment on both sides in CA patients. However, although no relevant clinical and kinematic 452

asymmetry were found in our patients we cannot exclude subclinical differences in the EMG 453

patterns between left and right sides. The recordings of unilateral muscle activity, nevertheless, 454

revealed distinctive features of EMG bursts in CA with respect to HS (Fig. 5, 6, 7D). 455

Although the muscular patterns of CA patients are variable, the analysis of muscle 456

activation patterns showed distinctive features of the CA gait, in particular an increased amplitude 457

(Fig. 5C) and duration (Fig. 6B) of EMG bursts. On average the amplitude of muscle activity over 458

the gait cycle was about twice in CA patients than in healthy subjects (Fig. 5C, see also Mitoma et 459

al., 2000). It is therefore remarkable that significantly larger muscle activation could lead to similar 460

leg movement kinematics and even to smaller angular oscillations in the ankle joint (Fig. 1B, 2A). 461

In addition to a relatively high level of muscle activity in patients (Fig. 5C), the main difference 462

between HS and CA was the duration of the muscle activation periods (Fig. 6B). The enlarged 463

was observed in all three groups of CA patients (SCA1, SCA2, SAOA). The widening of 464

EMG bursts was somewhat asymmetric since there were also changes in the (Fig. 6C): the 465

shifted to slightly later phases of the gait cycle in proximal muscles (VL, ST, BF), and to earlier 466

phases in distal muscles (SOL, MG, LG and PL). 467

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The increased co-activation observed in the cerebellar ataxia patients (Fig. 6D, see also 468

Mari et al., 2014), in part due to EMG widening (Fig. 5), may represent a compensatory strategy 469

useful to provide mechanical stability by stiffening joints. For instance, an abnormal co-contraction 470

pattern has been demonstrated in categories of people who have a great need for active muscular 471

stabilization, such as the elderly (Peterson and Martin, 2010), individuals who have undergone 472

knee arthroplasty (Fallah-Yakhdani et al., 2012), patients with stroke or traumatic brain injury 473

(Chow et al., 2012), and patients with Parkinson’s disease (Meunier et al., 2000). Indeed, 474

compared with healthy subjects, ataxic patients needed to activate antagonist muscles more and 475

for a longer period, possibly in an attempt to compensate for instability (Fig. 1C, 3, 4). The 476

observed EMG widening also correlated with a stereotyped biomechanical output of the CA gait 477

(Fig. 7A). However, while leg stiffening might be beneficial in reducing body oscillations during 478

normal posture, in dynamic conditions it may also be detrimental due to a complex nature of 479

balance control during walking. Therefore, an alternative explanation could be that the broader 480

activity bursts are a result of pathology, as suggested by the positive correlation between the 481

severity of pathology (clinical ataxia scale, ICARS) and the (Fig. 7D). Nevertheless, taking 482

into account the ability of the central nervous system to adapt when faced with a specific gait 483

pathology, often it is difficult to distinguish what primarily comes from pathology and what comes 484

from compensatory mechanisms (Dietz, 2002; Grasso et al., 2004; Ivanenko et al., 2013a). The 485

observed widening of EMG bursts (Fig. 6B) can possibly be compared to other gait disturbances or 486

gait adaptations. For instance, relatively wider EMG bursts are observed in infants (Dominici et al., 487

2011; Ivanenko et al., 2013b), which may be determined at least in part by the developmental state 488

of the cerebellum (Vasudevan et al., 2011). Similarly to ataxic patients, when children start to walk 489

independently their gait is characterized by considerable trunk oscillations, wide swinging arms, 490

high interstride variability and immature foot trajectory characteristics and intersegmental 491

coordination (Ivanenko et al., 2007; Dominici et al., 2010). Maturation of gait is accompanied by a 492

more selective and flexible control of muscles, with shorter activations and an evident separation of 493

the distinct bursts (Dominici et al., 2011; Teulier et al., 2012; Ivanenko et al., 2013b). 494

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What is the advantage of the ‘narrow’ bursts in the activation patterns of HS and why are 495

broader bursts adopted in CA patients? Even though the central pattern generation ‘timer’ 496

produces different relative stance/swing phase durations depending on walking speed (Prochazka 497

and Yakovenko, 2007; Duysens et al., 2013), the duration of the muscle activation patterns is 498

scaled to the duration of the gait cycle (Cappellini et al., 2006). In cerebellar ataxia patients, 499

widening of muscle activation patterns and shifts in the (Fig. 6) may be a consequence of 500

improper motor planning (feed-forward control) and processing of proprioceptive information 501

(Bastian, 2011) leading to inaccurate movements (Fig. 3) and to the abnormal transient at heel 502

strike (Fig. 4). Broader activation patterns likely imply higher metabolic cost and may also limit 503

adaptation to different walking conditions and coordination with voluntary movements that require 504

appropriate activation timings/duration (Ivanenko et al., 2005). 505

Our findings are consistent with the idea that the cerebellum contributes to optimizing the 506

duration of muscle activation patterns during locomotion. It remains to be determined if the 507

abnormalities discussed here are specific for cerebellar deficit. In this regard, it is worth noting that 508

abnormal prolongation of EMG activity was also observed in the upper limb muscles during elbow 509

flexions in patients with cerebellar deficits and thus may represent a general feature of cerebellar 510

dysmetria (Hallett et al., 1975). Future research can be focused on the mechanisms underlying the 511

observed phenomena for understanding cerebellar physiology and for using these abnormalities as 512

diagnostic tools for the documentation of cerebellar deficits. 513

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Acknowledgements: This work was supported by the Italian Health Ministry, Italian Ministry of 515

University and Research (PRIN project), Italian Space Agency (CRUSOE and COREA grants), and 516

European Union FP7-ICT program (AMARSi grant #248311). 517

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Figure legends 675

676

Figure 1. Kinematics gait parameters. A: comparison of general gait parameters for healthy 677

subjects (HS) and cerebellar ataxic patients (CA). B: ensemble-averaged (mean ± SD) hip, knee 678

and ankle joint angles and trunk roll and pitch orientation angles in 19 ataxic patients (right) and 20 679

age-matched healthy subjects (left). Data were normalized to the cycle duration and represented in 680

percent of gait cycle. C: range of angular motion (RoM). Asterisks denote significant group 681

differences ( 0.05, un-paired t-tests). 682

683

Figure 2. Planar covariation of elevation angles during walking in HS and CA. A: ensemble-684

averaged (across strides) thigh, shank and foot elevation angles (mean ± SD) plotted vs. 685

normalized gait cycle and corresponding 3D gait loops and interpolation planes in one healthy 686

subject (left) and one ataxic patient (right). Gait loops are obtained by plotting the thigh waveform 687

vs. the shank and foot waveforms (after mean values subtraction). Gait cycle paths progress in 688

time in the counterclockwise direction, heel touch-down and toe-off phases corresponding roughly 689

to the top and bottom of the loops, respectively. The interpolation planes result from orthogonal 690

planar regression. B: percent of total variation explained by second and third principal component 691

( and , respectively) and parameter that characterizes the orientation of the normal to 692

the plane are indicated for each group of subjects (mean + SD). Asterisks represent significant 693

group difference ( 0.05). 694

695

Figure 3. Inter-stride angular variability. A: examples of joint and trunk orientation angles in CA 696

patient (p14) and an age-matched control (h1). Every trace refers to a single cycle. B: inter-stride 697

variability of joint and trunk orientation angles (meanSD: estimated as the mean SD of angular 698

waveforms across strides averaged over all time points of the gait cycle) in healthy subjects and 699

ataxic patients (mean + SD). Asterisks represent significant group difference ( 0.05). Note 700

higher inter-stride variability of angular motion in CA. 701

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Figure 4. Vertical ground reaction forces (GRF) during walking. A: upper panels: vertical GRF in 703

one representative healthy subject (top left) and one ataxic patient (top right). Every trace refers to 704

a single cycle. Bottom panels: Ensemble-averaged (mean ± SD) vertical ground reaction forces in 705

healthy subjects ( 20) and ataxic patients ( 19). The patterns are normalized to body weight 706

and plotted vs. normalized stance. Note the prominent transient ( ) during the weight-acceptance 707

period (marked by a shaded area) in ataxic patients. B: vertical velocity of the markers at hip, knee 708

and ankle joints in one healthy subject (left) and one representative ataxic patient (right) over the 709

time interval around the foot-strike event (from 5% of stance prior to the heel contact to 15% after 710

the heel contact). Each trace refers to a single step.  – peak-to-peak amplitude of velocity traces 711

over first 10% of stance duration. C: peak-to-peak amplitude (mean + SD) of force transient ( ) 712

and velocity traces ( ) during the initial weight acceptance phase of stance in healthy subjects 713

and ataxic patients. Asterisks denote significant group differences ( 0.05). 714

715

Figure 5. EMG activity in HS and CA. A: examples of EMG traces in one healthy subject (h4, 716

4.1km/h) and one CA patient (p15, 3.4km/h) during two consecutive strides. The stance phase is 717

evidenced by a shaded region. B: ensemble-averaged (mean ± SD) EMG activity patterns of 12 718

ipsilateral leg muscles recorded from healthy subjects and ataxic patients. EMGs were normalized 719

to their max value across all trials. C: max and mean EMG levels (mean + SD) in microvolts. Note 720

higher level of activity in CA. D: co-activation indexes ( ) of “RF-VL-VM vs ST-BF” and “MG-LG vs 721

TA” pairs of antagonist muscles. Asterisks denote significant group differences ( 0.05). 722

723

Figure 6. Characteristics of EMG activity. A: schematic description of the evaluation method in one 724

representative EMG envelope of the biceps femoris muscle plotted in the polar coordinates. Full 725

width at half maximum ( ) was calculated as the duration of the interval (in percent of gait 726

cycle) in which EMG activity exceeded half of its maximum. In the few cases in which two bursts of 727

activity were present (e.g. in TA), was calculated as a sum of the durations of the intervals 728

in which EMG activity exceeded half of its maximum. The center of activity ( ) vector was 729

calculated as the first trigonometric moment of the circular distribution (Batschelet, 1981). B: 730

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(mean + SD) of 12 EMGs in HS and CA. C: correlation between and walking 731

speed, the data for all subjects and all individual strides were pooled together (each point 732

represents the individual stride value). Linear regression lines with corresponding and values 733

are reported. D: of leg muscle EMGs in healthy subjects (green) and ataxic patients (red). 734

Polar direction denotes the relative time over the gait cycle (time progresses clockwise), the width 735

of the sector represents angular SD across subjects while the radius of the sector indicates the 736

mean angular SD across strides (the smaller the radius the larger the interstride variability). 737

Asterisks denote significant differences between the groups. 738

739

Figure 7. Correlations between gait parameters, EMG burst widening and clinical scores. Only 740

parameters that differed significantly between HS and CA individuals are plotted in this figure. 741

Each point represents the stride-averaged value for the individual patient. Linear regression lines 742

with corresponding and values are reported. A: Relationships between cycle duration, stride 743

length, stride width and parameter of the intersegmental coordination and mean of 744

muscle activation patterns (mean was calculated as the mean across of all 12 745

muscles). B: gait kinematic parameters vs. the ICARS score. C: parameters of the transient 746

following the heel strike (GRF  , hip  and knee  , Fig. 4). D: averaged across all 747

EMGs vs. the ICARS score. 748

(29)

Table 1. Patients’ characteristics. Cerebellar patients were rated using the ICARS score (Trouillas 749

et al., 1997). The table lists the total ICARS scores and the subscores for posture, gait and limb 750

kinetics (we summed up the gait and posture scores to obtain an indicator of balance deficit). 751

Higher scores indicate more severe ataxia. 752

753

Patients Age (yr) Gender BW (kg) Diagnosis onset (yr) Age at ICARS

Gait Posture Balance Lower Limb Total

P1 42 M 65 SCA1 35 1 1 2 1 6 P2 41 M 64 SCA1 33 1 1 2 1 6 P3 48 M 74 SAOA 30 1 0 1 1 6 P4 32 M 50 SCA1 28 2 4 6 0 7 P5 33 M 52 SCA1 30 3 3 6 0 7 P6 57 M 65 SAOA 47 3 4 7 4 12 P7 65 F 65 SAOA 62 3 5 8 0 12 P8 59 F 61 SAOA 55 3 4 7 1 12 P9 43 F 66 SCA2 37 5 5 10 2 17 P10 49 M 73 SCA1 41 4 5 9 2 18 P11 46 M 77 SAOA 17 4 5 9 2 18 P12 37 M 67 SCA2 30 3 6 9 2 20 P13 45 M 79 SCA1 27 3 3 6 3 21 P14 45 M 70 SCA2 35 4 8 12 5 21 P15 44 M 68 SCA2 33 5 7 12 5 21 P16 52 M 85 SCA1 40 4 5 8 4 23 P17 45 M 68 SAOA 30 4 9 13 7 26 P18 62 F 70 SAOA 50 5 9 14 7 28 P19 54 F 66 SAOA 40 5 10 15 8 30

(30)

A

2 4 km /h stance duration 100 40 60 80 stride length 0 5 1.0 1.5 limb length * stride width 0.2 0.4 limb length * s cycle duration 0.5 1.0 * walking speed % cy cle 0 20 0

B

healthy subjects CA patients 0° 30° hip 0 0.5 % 0 % 0 -20° 0° 80° 80° knee kl 40° 60° -5° 0° 5° ankle trunk roll 0 50 100 -5° 0° 5° % cycle 0 50 100 trunk pitch % cycle R M

C

RoM

C

HS CA

hip knee ankle 0° 20° 40° 60° * roll pitch 0° 2° 4° 6° * * trunk

Fig. 1

(31)

A

healthy h4 patient p12 foot thigh shank 60° 0° 60° oot

B

PV3 * PV2 * u*3t -60° 0 fo -60° 60° -60° 0° 60° 0° HS 0% 0.5% 1% 0% 5% 10% 15% 0 0.1 0.2 0.3 HS CA

Fig. 2

(32)

healthy h1 patient p14 60° 80° 80° 100°

A

40° 60° 0° 20° 40° 60° 60° 80° 0° 20° 40° 60° ankle knee 0 -40° -20° 0° 20° 10° 0 -40° -20° 0° 20° 10° hip -10° 0° 0° 5° -10° 0° 0° 5° trunk roll trunk pitch 0 50 100 -5° 0 50 100 -5° % cycle % cycle

B

S D SD * 6° 8° * 3° 4° * * * inter-stride variability HS CA

ankle knee hip

mean S roll pitch mean S 0° 2° 4° 0° 1° 2° trunk CA

Fig. 3

(33)

A

vertical GRF healthy h1 patient p14

B

vertical velocity 5 healthy h1 patient p14 0 0.2 0.4 0.6 0.8 1 % BW Δ1 -5 0 5 m/ s 5 -5 0 m/ s Δ2 knee hip 0.4 0.6 0.8 1 % BW

healthy subjects CA patients

C

-5 0 5 10 15 -5 0 5 % stance m/ s -5 0 5 10 15 % stance 6 * * 0.2 vert. GRF * ankle vert. velocity HS CA 0 20 40 60 80 100 0 0.2 % stance 0 20 40 60 80 100 % stance hip knee ankle 0 2 4 Δ2 0 0.05 0.1 0.15 Δ1

Fig. 4

(34)

B

healthy subjects CA patients healthy h4 patient p15

A

0 1 RF VL RF VL 0 1 VM GM TFL VM GM TFL ST BF ST BF TA PL TA PL SOL MG LG SOL MG LG

C

mean activation μ V40 60 * max activation 400 600 * μ V 1 s 1 s HS CA 10% 20%

co-activation index (CI)

* * HS CA

D

0 50 100 % cycle 0 50 100 % cycle

Fig. 5

0 20 0 200 μ RF-VL-VM vs. ST-BF MG-LG vs. TA 0%

(35)

A

FWHM 40 60 cle * * * * * * *

B

0 FWHM CoA HS CA 30 40 50 rCA = -0.26, p=0.27 % cy cle) HS CA

C

RF VL VM GM TFL ST

center of activity (CoA)

D

RF VL VM GM TFL ST BF TA PL SOL MG LG 0 20 40 % cy c 25 75 50 % cycle max ½ max rHS = -0.10, p=0.68 3 3.5 4 4.5 0 10 20 speed (km/h) FW HM ( % 0 50 75 RF VL VM GM TFL ST BF TA PL SOL MG LG 25 * * * HS CA % cycle * * * *

Fig. 6

Figura

Table 1. Patients’ characteristics. Cerebellar patients were rated using the ICARS score (Trouillas 749

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